Computer Science Homework Help
Computer Science Homework Help. Diffie-hellman key exchange
Pick a partner in class.
Negotiate p and n (Diffie Hellman)
Come up with a secret
Compute the Public Key and send it to your partner
SUBMIT YOUR NAMES, YOUR PUBLIC KEY and THE SHARED SECRET in a Word Document (each of you must sumbit)
and now why did you think it worked? Think about a simple property of exponentiation
I would like you to do for both me and my partner
Explanation
My Version
UserA needs to talk to UserB
They start out by agreeing on a Prime Number and an Integer –> (p and n)
Let’s use 13 and 6 (You can pick your own)
I FORGOT TO SET SOME RULES FOR OUR LITTLE COMPUTATION:
1. p has to be greater than 2
2. n has to be less than p
3. The SECRET S has to be less than p-1
Without these rules the algorithm will not work.
Note that the negotiation of 13 and 6 can be on a public network. A hacker can eavesdrop and find 13 and 6. It has no significance on the SECRET
Now UserA has to come up with a RANDOM SECRET and the same thing for USERB. Note these are SECRET.
UserA picks 3 and UserB picks 10 (So far…so good)
Let STOP for a second and catch our breath!!!!!!!
WHAT DOES UserA know?
13 <- the prime
6 <- the integer
3 <- the secret
UserA now computes the following:
6^3 MOD 13 -> 8 (Try it )
GUESS WHAT –> 8 IS THE PUBLICK KEY AND IT IS SENT TO UserB.
NOW what does UserB know?
Well the agree upon Prime -> 13
The Integer -> 6
and the Secret -> 10
AND!!!!!!!!!!!!!!!….the Public KEY of UserA which is 8
Now UserB computes
6^10 MOD 13 (Just like user A did earlier) -> 4
4 IS THE PUBLIC KEY of UserB and is sent to UserA
AT THIS STAGE WE HAVE BEEN ABLE TO GENERATE THE PUBLIC KEYS OF UserA and UserB and share them. NO BIG DEAL IF A HACKER WERE TO GET HOLD OF THEM.
User A has the following now:
13 <- the prime
6 <- the integer
3 <- the secret
4 <- Public Key of UserB
User B has the following now:
13 <- the prime
6 <- the integer
10 <- the secret
8 <- Public Key of UserA
UserA computes the following:
4^3 MOD 13 = 12————-> THIS IS THE SECRET KEY FOR UserA
UserB computes the following:
8^10 MOD 13 = 12 ———–> THIS IS THE SECRET KEY FOR UserB
WOWO –> THIS IS AMAZING
Here are two links to help you understand the task: https://www.youtube.com/watch?v=M-0qt6tdHzk
Computer Science Homework Help